Question

LA Fitness charges a registration fee of $75 plus $35.75 per month for members. Gold's Gym charges a registration fee of $164 plus $17.95 for members. After how many months would the total cost at LA Fitness and Gold's Gym to be the same for members? The cost will never be the same. The cost will never be the same. 5 months 5 months 7 months 7 months 10 months \

Answer 1

After 5 months

Explanation:

Step one:

given data

LA Fitness charges a registration fee of $75 plus $35.75 per month for members

let the number of months be x

and the total charges be y

total is

y= 75+35.75x----------1

Gold's Gym charges a registration fee of $164 plus $17.95 for members

let the number of months be x

and the total charges be y

total is

y= 164+17.95x----------2

Step two:

equate 1 and 2

75+35.75x= 164+17.95x

solve for x

35.75x-17.95x=164-75

17.8x=89

divide both sides by 17.8

x=89/17.8

x=5 months